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[AutoDiff][stdlib] Add JVPs to SIMDDifferentiation.swift.gyb #32854

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Merged
merged 3 commits into from
Jul 14, 2020
Merged

[AutoDiff][stdlib] Add JVPs to SIMDDifferentiation.swift.gyb #32854

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73864f9
[AutoDiff][stdlib] Add JVPs to SIMDDifferentiation.swift.gyb
efremale Jul 13, 2020
2f9d0b8
Add failing test
efremale Jul 13, 2020
98c8360
Narrow down SR-13210 failing test.
dan-zheng Jul 13, 2020
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172 changes: 172 additions & 0 deletions stdlib/public/Differentiation/SIMDDifferentiation.swift.gyb
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Original file line number Diff line number Diff line change
Expand Up @@ -59,6 +59,16 @@ where
return zeros
})
}

@inlinable
@derivative(of: subscript(_:))
internal func _jvpSubscript(index: Int)
-> (value: Scalar, differential: (TangentVector) -> Scalar.TangentVector)
{
return (self[index], { v in
return .init(v[index])
})
}
}

%end
Expand All @@ -82,6 +92,18 @@ where
})
}

@inlinable
@derivative(of: +)
static func _jvpAdd(lhs: Self, rhs: Self)
-> (
value: Self, differential: (TangentVector, TangentVector) -> TangentVector
)
{
return (lhs + rhs, { ltan, rtan in
return ltan + rtan
})
}

@inlinable
@derivative(of: -)
static func _vjpSubtract(lhs: Self, rhs: Self)
Expand All @@ -94,6 +116,18 @@ where
})
}

@inlinable
@derivative(of: -)
static func _jvpSubtract(lhs: Self, rhs: Self)
-> (
value: Self, differential: (TangentVector, TangentVector) -> TangentVector
)
{
return (lhs - rhs, { ltan, rtan in
return ltan - rtan
})
}

@inlinable
@derivative(of: -)
static func _vjpNegate(rhs: Self)
Expand All @@ -103,6 +137,16 @@ where
return -v
})
}

@inlinable
@derivative(of: -)
static func _jvpNegate(rhs: Self)
-> (value: Self, differential: (TangentVector) -> (TangentVector))
{
return (-rhs, { v in
return -v
})
}
}

extension SIMD
Expand All @@ -124,6 +168,18 @@ where
})
}

@inlinable
@derivative(of: *)
static func _jvpMultiply(lhs: Self, rhs: Self)
-> (
value: Self, differential: (TangentVector, TangentVector) -> TangentVector
)
{
return (lhs * rhs, { ltan, rtan in
return lhs * ltan + rtan * rhs
})
}

@inlinable
@derivative(of: /)
static func _vjpDivide(lhs: Self, rhs: Self)
Expand All @@ -135,6 +191,18 @@ where
(v / rhs, -lhs / (rhs * rhs) * v)
})
}

@inlinable
@derivative(of: /)
static func _jvpDivide(lhs: Self, rhs: Self)
-> (
value: Self, differential: (TangentVector, TangentVector) -> TangentVector
)
{
return ( lhs / rhs, { ltan, rtan in
(ltan * rhs - lhs * rtan) / (rhs * rhs)
})
}
}

extension SIMD
Expand All @@ -156,6 +224,17 @@ where
})
}

@inlinable
@derivative(of: +)
static func _jvpAdd(lhs: Scalar, rhs: Self) -> (
value: Self,
differential: (Scalar.TangentVector, TangentVector) -> TangentVector
) {
return (lhs + rhs, { ltan, rtan in
return ltan + rtan
})
}

@inlinable
@derivative(of: -)
static func _vjpSubtract(lhs: Scalar, rhs: Self) -> (
Expand All @@ -167,6 +246,17 @@ where
})
}

@inlinable
@derivative(of: -)
static func _jvpSubtract(lhs: Scalar, rhs: Self) -> (
value: Self,
differential: (Scalar.TangentVector, TangentVector) -> TangentVector
) {
return (lhs - rhs, { ltan, rtan in
return ltan - rtan
})
}

@inlinable
@derivative(of: +)
static func _vjpAdd(lhs: Self, rhs: Scalar) -> (
Expand All @@ -178,6 +268,17 @@ where
})
}

@inlinable
@derivative(of: +)
static func _jvpAdd(lhs: Self, rhs: Scalar) -> (
value: Self,
differential: (TangentVector, Scalar.TangentVector) -> TangentVector
) {
return (lhs + rhs, { ltan, rtan in
return ltan + rtan
})
}

@inlinable
@derivative(of: -)
static func _vjpSubtract(lhs: Self, rhs: Scalar) -> (
Expand All @@ -188,6 +289,17 @@ where
return (v, -v.sum())
})
}

@inlinable
@derivative(of: -)
static func _jvpSubtract(lhs: Self, rhs: Scalar) -> (
value: Self,
differential: (TangentVector, Scalar.TangentVector) -> TangentVector
) {
return (lhs - rhs, { ltan, rtan in
return ltan - rtan
})
}
}

extension SIMD
Expand All @@ -209,6 +321,17 @@ where
})
}

@inlinable
@derivative(of: *)
static func _jvpMultiply(lhs: Self, rhs: Scalar) -> (
value: Self,
differential: (TangentVector, Scalar.TangentVector) -> TangentVector
) {
return (lhs * rhs, { ltan, rtan in
return lhs * rtan + ltan * rhs
})
}

@inlinable
@derivative(of: /)
static func _vjpDivide(lhs: Self, rhs: Scalar) -> (
Expand All @@ -220,6 +343,17 @@ where
})
}

@inlinable
@derivative(of: /)
static func _jvpDivide(lhs: Self, rhs: Scalar) -> (
value: Self,
differential: (TangentVector, Scalar.TangentVector) -> TangentVector
) {
return (lhs / rhs, { ltan, rtan in
(ltan * rhs - lhs * rtan) / (rhs * rhs)
})
}

@inlinable
@derivative(of: *)
static func _vjpMultiply(lhs: Scalar, rhs: Self) -> (
Expand All @@ -231,6 +365,17 @@ where
})
}

@inlinable
@derivative(of: *)
static func _jvpMultiply(lhs: Scalar, rhs: Self) -> (
value: Self,
differential: (Scalar.TangentVector, TangentVector) -> TangentVector
) {
return (lhs * rhs, { ltan, rtan in
return lhs * rtan + ltan * rhs
})
}

@inlinable
@derivative(of: /)
static func _vjpDivide(lhs: Scalar, rhs: Self) -> (
Expand All @@ -241,6 +386,17 @@ where
((v / rhs).sum(), -lhs / (rhs * rhs) * v)
})
}

@inlinable
@derivative(of: /)
static func _jvpDivide(lhs: Scalar, rhs: Self) -> (
value: Self,
differential: (Scalar.TangentVector, TangentVector) -> TangentVector
) {
return (lhs / rhs, { ltan, rtan in
(ltan * rhs - lhs * rtan) / (rhs * rhs)
})
}
}

// FIXME(TF-1103): Derivative registration does not yet support
Expand All @@ -261,6 +417,14 @@ where
) {
return (sum(), { v in Self(repeating: Scalar(v)) })
}

@inlinable
@derivative(of: sum)
func _jvpSum() -> (
value: Scalar, differential (TangentVector) -> Scalar.TangentVector
) {
return (sum(), { v in v.sum() }
}
}
*/

Expand All @@ -279,4 +443,12 @@ where
{
return (Self(repeating: value), { v in v.sum() })
}

@inlinable
@derivative(of: init(repeating:))
static func _jvpInit(repeating value: Scalar)
-> (value: Self, differential: (Scalar.TangentVector) -> TangentVector)
{
return (Self(repeating: value), { v in Self(repeating: v) })
}
}
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